The sum of three consecutive odd integers is - 51. What are the integers.

-18, - 17, - 16

Step-by-step explanation:

Let the number be represented with Z,. i. e.

Let the number be represented with Z,. i. e Z., Z+1, Z+2

Let the number be represented with Z,. i. e Z., Z+1, Z+2

Z + (Z + 1) + (Z + 2) = - 51

Z + Z + Z + 1 + 2 = - 51

3Z + 3 = - 51

3Z = - 51 - 3

3Z = - 54

Z = - 54/3

Z = - 18

Hence the numbers are - 18, - 17, - 16

So, let's imagine n to be our first odd number, the next one will be a non odd, so the other next will be, so, n + 2, the same to the next term, so, n + 4

n + (n + 2) + (n + 4) = - 51

3n + 6 = - 51

3n = - 51 - 6

3n = - 57

n = - 19

The integers are - 19, - 17, - 15